Relativistic Hamiltonian dynamics of pions in nucleons

Journal Article · Sat Jun 01 04:00:00 EDT 1996 · Physical Review, C

DOI:https://doi.org/10.1103/PhysRevC.53.3097· OSTI ID:284794

Bylev, A B; Przeszowski, J ^[1]

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1. Institute of Fundamental Technological Research, Polish Academy of Sciences, ul. Swietokrzyska 21, 00-049 Warsaw (Poland)

The main purpose of this work is to estimate to what extent the construction of effective Hamiltonians for pions and nucleons using renormalization group techniques and light-front quantum field theory is worth pursuing. The Hamiltonian we study is obtained from a local theory of fermions coupled to pseudoscalar bosons by making an {ital ad} {ital hoc} Tamm-Dancoff projection, introducing necessary regularization of divergences, and finding counterterms. We ask if and for what values of the cutoffs and coupling constants the model may be relevant to the physics of pions and nucleons. We calculate the electromagnetic form factors of nucleons and pion-nucleon scattering cross section at small momentum transfers. The model is able to explain the form factor data with accuracy of the order of 30{percent}. The scattering data cannot be explained within the one-boson restriction and seem to require two-boson states. For example, chiral symmetry requires two-boson states. The cutoffs have to be on the order of one to several nucleon masses and the couplings much bigger than 1. We explain the relevance of these results to the program of constructing a light-front Hamiltonian for relativistic pions interacting with nucleons. {copyright} {ital 1996 The American Physical Society.}

• OSTI ID: 284794
• Journal Information: Physical Review, C, Journal Name: Physical Review, C Journal Issue: 6 Vol. 53; ISSN PRVCAN; ISSN 0556-2813
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
BOSONS
COUPLING CONSTANTS
CROSS SECTIONS
ELECTROMAGNETIC FORM FACTORS
FERMIONS
HAMILTONIANS
LIGHT CONE
MOMENTUM TRANSFER
NUCLEONS
PION-NUCLEON INTERACTIONS
PIONS
QUANTUM FIELD THEORY
RELATIVISTIC RANGE
RENORMALIZATION
TAMM-DANCOFF METHOD